Mathematics
A mathematical model of a particle that remembers its past so that it never travels the same path twice produces stunningly complex patterns
By Karmela Padavic-Callaghan
A beautiful and surprisingly complex pattern produced by ‘mathematical billiards’
Albers et al. PRL 2024
In a mathematical version of billiards, particles that avoid retracing their paths get trapped in intricate and hard-to-predict patterns – which might eventually help us understand the complex movement patterns of living organisms.
When searching for food, animals including ants and slime moulds leave chemical trails in their environment, which helps them avoid accidentally retracing their steps. This behaviour is not uncommon in biology, but when Maziyar Jalaal at the University of Amsterdam in the Netherlands and his colleagues modelled it…
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